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Why is the set of factors of a number not the same as the set of proper factors of that number?
Proper factors of a number do not include 1 or the number itself. For example, all of the factors of 6 are 1, 2, 3, and 6, but the proper factors of 6 are 2 and 3.
What are the proper factors of 42?
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.The proper factors are 1, 2, 3, 6, 7, 14, and 21or 2, 3, 6, 7, 14, and 21 if the number 1 is excluded as it is in some definitions of proper factor.
What are proper factors?
Factors are the numbers that evenly divide into a given number.Proper factors are all the factors of the number except the number itself. Some definitions do not allow the number 1, either. If you distinguish between proper factors and proper divisors, proper factors do not include 1, but proper divisors do.Examples:All factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.Proper factors of 54 are 2, 3, 6, 9, 18, and 27.Proper divisors of 54 are 1, 2, 3, 6, 9, 18, and 27.All factors of 9 are 1, 3, and 9.Proper factors of 9 are only 3.Proper divisors of 9 are 1 and 3.All factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.Proper factors of 30 are 2, 3, 5, 6, 10, and 15.Proper divisors of 30 are 1, 2, 3, 5, 6, 10, and 15.All factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.Proper factors of 100 are 2, 4, 5, 10, 20, 25, and 50.Proper divisors of 100 are 1, 2, 4, 5, 10, 20, 25, and 50.All factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.Proper factors of 120 are 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.Proper divisors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.
All the proper factors of 42?
2, 3, 6, 7, 14, 21
What are proper factors of 36?
2, 3, 4, 6, 9, 12, 18
